These sections correlate with the book chapter 2.2 and 2.3. Also, please see a blank worksheet and the solutions below. :)

Please watch the video in its entirety. This video was made across the world, prior to social distancing, to bring awareness that the world is smaller than we think. Enjoy....and I miss you.

Introduction to integral calculus
Definite integrals intro
Worked example: accumulation of change

Pick what you like!

Here is the list of videos "assigned" each day:
4/28: Unit 2 Derivative Review AND Unit 3 Derivative of Composites Review
4/29: Unit 4 Contextual Applications of the Differentiation Review
4/30: Mised Bag Review Units 1-4
5/1: Unit 5 Analytical Applications of the Derivative Review
5/2: Unit 6 Intergration & Accumulation of Change Review
5/3: Unit 7 Differential Equations Review
5/4: Mixed Bag Review Units 5-7
5/5: Mixed Bag Review Units 1-7
5/6: Tabular FRQs
5/7: Graphical Stem FRQs
5/8: Verbal Scenario FRQs
5/9: Mixed Review Final Thoughts Part 1
5/10: Mixed Review Final Thoughts Part 2

If you did not attend today's zoom, please do these two problems and turn in here.

I attended an AP webinar and I have very important info to share. There is a checklist, preparation and other info I would like to take you through and explain. I have included some links..WE MUST GO THROUGH THIS BECAUSE I NEED YOU PREPARED, RELAXED AND CONFIDENT!

We did the last unit from MyAp, it is attached. If you did not attend zoom last Friday (4/24). Please do the attached FRQ, in turn in pics of your work, by 4/28 at midnight. We also reviewed an FRQ on KA, which we will continue today.

Those of you that did not attend this morning. Turn in work here. Make sure to show all work and get it done on time!

Turn in notes with a summary of what you feel good about and what you need to work on.

Turn in the notes with a summary of what you need to pay attention to and what you are still struggling with.

If you attended today's zoom, you do not need to do these. If not, please answer and turn in your work here. The problems are due by 8 am on Tuesday, April 21st.

Please complete the problems and turn them in by Friday, 4/17 @ 8 am. The answers will be posted Friday.

Note: IF you attend zoom's, you are excused from that day's assignment. :)

Please go to your .net EMAIL and verify parent square. You may have multiple emails asking you to do so. Once you verify through one email, you can delete the rest. You may also find other emails to respond to from teachers. I suggest you clean up your inbox!!!
Mark done once you have completed. I am trusting that you will actually do this before marking complete. It is important that you are checking your .net email regularly, now that we are NOT returning to school!

Upload pics of your work

Upload pics of scrap work.

Please upload your scrap work!

Upload pictures of your scrap paper from the MC questions.

Please upload pics of your scrap work.

Please upload pictures of your scrap work.

Please fill out the survey to help us ensure that you are getting updates related to the course. These will be assigned weekly and will count toward attendance and participation. This first one is due Wednesday, March 25.

Here are all the files for the packet. KA will be a separate assignment.

Volume with cross sections: triangle
Disc method around x-axis
Generalizing disc method around x-axis
Disc method around y-axis
Solid of revolution between two functions (leading up to the washer method)
Generalizing the washer method

Horizontal area between curves
Volume with cross sections: intro
Volume with cross sections: squares and rectangles (no graph)
Volume with cross sections perpendicular to y-axis

1. Area between curves
2. Worked example: area between curves
3. Composite area between curves
4. Area between a curve and the 𝘺-axis
5. Horizontal area between curves

I am posting the solutions to the Transcendental and PVA (In other words, the rest of your packet). Work on them at your pace, test is on MONDAY!!

𝘶-substitution: defining 𝘶
𝘶-substitution: indefinite integrals

𝘶-substitution intro
𝘶-substitution: multiplying by a constant
𝘶-substitution: defining 𝘶
𝘶-substitution: defining 𝘶 (more examples)

Finding the Mean Value Theorem for Integrals

Finding derivative with fundamental theorem of calculus
Finding derivative with fundamental theorem of calculus: chain rule

What does this mean? It means to go back and read through it and make notes in the margins, highlight key concepts (then rewrite them in your own words in the margins), write down one essential question (E.Q.) from each of the four sections on the back page. UNDERSTAND Riemann sums and the limit process so you are ready to move on Monday!!!! I will be checking this!

Worked example: Rewriting definite integral as limit of Riemann sum and Worked example: Rewriting limit of Riemann sum as definite integral

Summation notation (video), Summation notation (article), Worked examples: Summation notation

The videos are titled:
Worked example: over- and under-estimation of Riemann sums, Midpoint sums and Trapezoidal sums

I have also attached the notes from today and I have decided to post the answers to the optimization WS I have attached. :)

The videos are: Optimization: cost of materials, Optimization: area of triangle & square (Part 1), Optimization: area of triangle & square (Part 2), and Motion problems: finding the maximum acceleration

The 3 videos are: Optimization: sum of squares, Optimization: box volume (Part 1), and Optimization: box volume (Part 2)

The 3 videos are: L'Hôpital's rule introduction, L'Hôpital's rule: limit at 0 example, and L'Hôpital's rule: limit at infinity example.
See the notes attached.

Curve sketching with calculus: polynomial and Analyzing a function with its derivative

Inflection points (algebraic), Mistakes when finding inflection points: second derivative undefined, Mistakes when finding inflection points: not checking candidates and Second derivative test.

KA Videos:Finding relative extrema (first derivative test), Worked example: finding relative extrema, Analyzing mistakes when finding extrema (example 1) and Analyzing mistakes when finding extrema (example 2)

Note: CAS means to use a calculator.
MVT and Rolle's is pretty easy but make sure you understand and interact with page 33!!!!
The 3 videos are: Justification with the mean value theorem: table, Justification with the mean value theorem: equation and Mean value theorem application.

Videos: Mean value theorem and Mean value theorem example: polynomial

Also, we will not do a TOD tomorrow because so many students are absent. We will do one Tuesday. :) Tomorrow will be last day of related rates.

Look at the previous assignments for the notes and book pages. :)

Notes, book problems and answers are below.

Sorry I didn't post this yesterday! My mouse stopped working at school and I forgot to upload the assignment until I saw Emi today in Seal Beach! :)
KA videos: Related rates: water pouring into a cone, Related rates: shadow, and Related rates: balloon.

The videos are: "Implicit differentiation" and "Worked example: Implicit differentiation"
and the HW key is attached. Remember that #10 and 12 are incorrect and #6 is 2/3.

I have posted the notes and answers to HW below. Since we have done a quick lecture on approximation, pay close attention. We will do a couple in class and get into our final section on implict differentiation. To be successful in the last section, make sure you know all the differentiation rules we have learned thus far. :)

You have two nights to complete due to the PSAT. However, look for a post tomorrow for a little something. :)

FIRST, we will number your new packets tomorrow....You can do it tonight if you like. There are 35 pages and the sections start with Sect. 9 - Diff from Tables, Graphs, and Symbolically to Sect. 13 - Implicit Differentiation.
SECOND, I will be looking at the last packet to make sure you have been interacting with those notes! :) So, bring those packets.

KA titles: Chain rule, Common chain rule misunderstandings, Identifying composite functions, Identify composite functions.

I have also included previous topics that I have not posted.

KA video titles: Power rule, Power rule (with rewriting the expression), Basic derivative rules,
Basic derivative rules: find the error, Differentiating polynomials

We will review these tomorrow and finish the rest in class.

See the solutions below

NOTE Period 1: I added #11 and 12 because you draw the prime graph on top of the function.

Per 1 - I owe you an apology for not being 100% with it this morning! I will do better tomorrow! Anyway, for both periods, I am attaching the rest of the notes (with the missing pages). Please print and review them!!! Also, I am posting the answers to the homework.

KA videos: Connecting f, f', and f'' graphically and Connecting f, f', and f'' graphically (another example).
I have also attached the rest of the notes and HW solutions. :)

I have attached the solutions to the flip book and the review.

See solutions below, however #19 goes to NEGATIVE infinity

See the KA site.

The videos are: Infinite limits and asymptotes, Analyzing unbounded limits: mixed function, Introduction to limits at infinity, Limits at infinity of quotients (Part 1), Limits at infinity of quotients (Part 2).

Please see below for the filled out pages of: Limit of Transcendental Functions Notes and HW AND Limits and Continuity Notes and HW

KA videos are on IVT and the formal definition of the limit.
Also, if needed, catch up on any skipped parts of the packet so far. Make sure to go back and interact with the packet! What this means is to highlight, write extra notes, etc!

Make sure to be logged on to KA to see the 4 videos: Squeeze theorem intro, Limit sin(x)/(x) as x approaches 0, Types of discontinuities, Continuity at a point. Please feel free to turn up the speed when watching the videos and taking notes because Sal tends to talk a lot!